116659008774400 has 243 divisors, whose sum is σ = 292621819247751. Its totient is φ = 46045965987840.

The previous prime is 116659008774397. The next prime is 116659008774401. The reversal of 116659008774400 is 4477800956611.

The square root of 116659008774400 is 10800880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 24764238471424 + 91894770302976 = 4976368^2 + 9586176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (116659008774401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 68261560746 + ... + 68261562454.

Almost surely, 2^{116659008774400} is an apocalyptic number.

116659008774400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

116659008774400 is the 10800880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116659008774400

116659008774400 is an abundant number, since it is smaller than the sum of its proper divisors (175962810473351).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116659008774400 is an frugal number, since it uses more digits than its factorization.

116659008774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 116659008774400 in words is "one hundred sixteen trillion, six hundred fifty-nine billion, eight million, seven hundred seventy-four thousand, four hundred".